labor10

1: Write a function called proCe(v) which has an input v. v is a cell type row vector that contains numbers stored in its fields as strings. The output of the function should be the number of positive numbers in vector v.

2: An xls file with names in the first column is given, in the second column there are the birth dates in yyyy.mm.dd format. Write a function called targetAud(s) whose input is the full name of the file as a string. The output is the number of people over 30 years today.

3.Write a function called estSin1(n) which takes a positive number as an input. The function has to make the spline interpolation of the sine function base on the points $x_1=\frac{1}{\pi}$ , $x_2=\frac{2}{\pi}$ , $\dots$ , $x_n=\frac{n}{\pi}$ , and using this interpolation the output is the estimated value of sin(1).

4. Suppose you have measured an unknown background function quantity values in [0; 2; 3; 6; 9; 11.4; 16; 20] points and got [0.8147; 3.5058; 4.0270; 8.7134; 12.3324; 14.9175; 21.0785; 26.5469]. Plot the measurement! Based on the plot is it a realistic assumption, is the relationship linear? If so, find the line that best fits in the smallest square sense.

5. Write a function called paraBola(v1, v2), where v1 and v2 column vectors, v1 contains measurement points, v2 of measurement values. The function should calculate for these points the best fitting parabola (ax ^ 2 + bx + c) in the least squared sense. The output should be is the three coefficients of the parabola in a single vector, [a, b, c].

6. Write a function called rectangLe(a, b, x0, y0) whose inputs are real numbers. The function draws a rectangle of which the lower left corner is (x_0, y_0), the side parallel to the x axis is, and the side parallel to the y axis is b long. If it's called with two inputs, then the bottom left corner should be the origin, if with only one the left the bottom corner should be (1.1) and draw the side square. Your function shouldn't have output.

7. Write a function howIs(v, c, d) whose input is is a v column vector and two real numbers. Calling with only one input the output should be the maximum of the numbers in v if there are three input, then the output is the number of element's in v between whose values are between c and d.

8. Write a function called sigNi(s), which takes a string as an input. The string is the name of an xls file, that contains measurements in two columns. In the first row you find the temperature, and from the second row the weights of objects at the and of the experiment. Import that file into Matlab, and decide, whether the temperature has significant effect on the weights or not.

9. Estimate the number of fishes on koi.jpg.